In May 251 a synod, assembled under the presidency of Cyprian to consider the treatment of the Lapsi, excommunicated Felicissimus and five other Novatian bishops (Rigorists), and declared that the lapsi should be dealt with, not with indiscriminate severity, but according to the degree of individual guilt. These decisions were confirmed by a synod of Rome in the autumn of the same year. Other Carthaginian synods concerning the lapsi were held in 252 and 254.
Two synods, in 255 and 256, held under Cyprian, pronounced against the validity of heretical baptism, thus taking direct issue with Stephen I, bishop of Rome, who promptly repudiated them. A third synod in September 256, possibly following the repudiation, unanimously reaffirmed the position of the other two. Stephen's claims to authority as bishop of bishops were sharply resented, and for some time the relations of the Roman and African sees were severely strained.
Around 345-348 under Gratus a synod of orthodox bishops, who had met to record their gratitude for the effective official repression of the Circumcelliones (Donatists), declared against the rebaptism of any one who had been baptized in the name of the Trinity, and adopted twelve canons of clerical discipline.
The Council of Carthage, called the third by Denzinger, issued a canon of the Bible on 28 August 397. The primary source of information about the third Council of Carthage comes from the Codex Canonum Ecclesiæ Africanæ, which presents a compilation of ordinances enacted by various church councils in Carthage during the fourth and fifth centuries. In one section of this code the following paragraph concerning the canon of Scripture appears.
16 [Placuit] ut praeter Scripturas canonicas nihil in Ecclesia legatur sub nomine divinarum Scripturarum. Sunt autem canonicae Scripture: Genesis, Exodus, Leviticus, Numeri, Deuterenomium, Iesu Nave, Iudicum, Ruth, Regnorum libri quatour, Paralipomenon libri duo, Iob, Psalterium Davidicum, Salomonis libre quinque, Duodecim libri prophetarum, Esaias, Ieremias, Daniel, Ezechiel, Tobias, Iudith, Hester, Hesdrae libre duo, Machabaeorum libre duo.
17 Novi autem Testamenti, evangeliorum libri quatuor, Actus Apostolorum liber unus, Pauli Apostoli epistolae tredecim., eiusdem ad Hebraeos una, Petri duae, Iohannis tres, Iacobi una, Iudae una, Apocalipsis Ioannis.
18 Ita ut de confirmando isto canone trasmarina Ecclesia consultatur. Liceat etiam legi passiones Martyrum, cum anniversarii dies eorum celebrantur
20 Hoc etiam fratri et consacerdoti nostro Bonifacio, vel aliis earum partium episcopis, pro confirmando isto canone innotescas, quia ita a patribus ista accepimus in ecclesia legenda.
16 It was also determined that besides the Canonical Scriptures nothing be read in the Church under the title of divine Scriptures. The Canonical Scriptures are these: Genesis, Exodus, Leviticus, Numbers, Deuteronomy, Joshua the son of Nun, Judges, Ruth, four books of Kings, two books of Paraleipomena, Job, the Psalter, five books of Solomon, the books of the twelve prophets, Isaiah, Jeremiah, Ezechiel, Daniel, Tobit, Judith, Esther, two books of Esdras, two Books of the Maccabees.
17 Of the New Testament: four books of the Gospels, one book of the Acts of the Apostles, thirteen Epistles of the Apostle Paul, one epistle of the same [writer] to the Hebrews, two Epistles of the Apostle Peter, three of John, one of James, one of Jude, one book of the Apocalypse of John.
18 So let the church over the sea be consulted to confirm this canon. Let it also be allowed that the Passions of Martyrs be read when their festivals are kept.
20 Let this be made known also to our brother and fellow-priest Boniface, or to other bishops of those parts, for the purpose of confirming that Canon. Because we have received from our fathers that those books must be read in the Church.-- Enchiridium Biblicum 8-10
The Conference of Carthage, held by the command of the Emperor Honorius in 411 with a view to terminating the Donatist schism, while not strictly a synod, was one of the most important assemblies in the history of the African sees, and of the whole Catholic Church. It was presided over by Marcellinus of Carthage who found in favour of the orthodox party, which led to the violent suppression of the Donatists.
On 1 May 418 a minor synod (Augustine of Hippo called it A Council of Africa), which assembled under the presidency of Aurelius, bishop of Carthage, to take action concerning the errors of Caelestius, a disciple of Pelagius, denounced the Pelagian doctrines of human nature, original sin, grace, and perfectibility; and it fully approved the contrary views of Augustine.
The synod issued eight canons
When Apiarius of Sicca, a priest excommunicated by the African Church, went to Rome for reinstatement in 419, Pope Zosimus sent envoys to Africa in order to investigate. A council was called in Carthage to deny the papal jurisdiction.  When the envoys tried to defend the pope's authority by quoting the Canons of the Council of Nicaea, Saint Augustine and Saint Aurelius condemned Pope Zosimus for interfering with the African Church's jurisdiction "by falsifying the text of Canon 5" (in reality it was an authentic canon of the Council of Serdica). The African church leadership told Rome that Nicaea indeed "gave no authority for appeals by priests against their episcopal superiors."  They further warned Pope Zosimus, and later Pope Celestine I, not to "introduce the empty pride of the world into the Church of Christ"  and to "keep their Roman noses out of African affairs".  The Council ruled that no bishop may call himself "Prince of Bishops" or "Supreme Bishop" or any other title which suggests Supremacy (Canon 39). It also ruled that if any of the African clergy dared to appeal to Rome, "the same was ipso facto cast out of the clergy". 
The Vandal Synod of Carthage (484) was a largely unsuccessful church council meeting called by the Vandal King Huneric to persuade the orthodox bishops in his recently acquired North African territories to convert to Arian Christianity. The orthodox bishops refused and many, including Fulgentius of Ruspe and Tiberiumus, were exiled to Sardinia, and some executed. The Notitia Provinciarum at Civitatum Africa says that nearly 500 went into exile. The bishops had requested that orthodox bishops from outside Huneric's dominions be allowed to attend but this was refused, the king saying "When you make me master of the whole world, then what you want shall be done". The synod appears to have been an exercise in royal browbeating more than a genuine debate, with bias toward Arian bishops.
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